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| Analytical moment expression for linear element in diagonal form fast multipole boundary element method
Haijun Wu, Weikang Jiang* and Wenbo Lu
The Journal of Mechanical Science and Technology, vol. 25, no. 7, pp.1711-1715, 2011
Abstract : The moment of diagonal form fast multipole boundary element for the Helmholtz equation in essence is the surface integration of exponential
function on an element. In this paper, the moment for a linear triangular element can be integrated analytically by transforming
the coordinates from global Cartesian coordinates to local area coordinates. The derived analytical moment evaluation is compared with
the classical numerical calculation, and results show that analytical method makes the moment calculation efficient, stable, and accurate.
Keyword : Analytical moments; Linear element; Fast multipole method; Acoustics |
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